The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Topological Transition in a Non-Hermitian Quantum Walk
Open accessAbstract
We analyze a quantum walk on a bipartite one-dimensional lattice, in which the particle can decay whenever it visits one of the two sublattices. The corresponding non-Hermitian tight-binding problem with a complex potential for the decaying sites exhibits two different phases, distinguished by a winding number defined in terms of the Bloch eigenstates in the Brillouin zone. We find that the mean displacement of a particle initially localized on one of the nondecaying sites can be expressed in terms of the winding number, and is therefore quantized as an integer, changing from zero to one at the critical point. We show that the topological transition is relevant for a variety of experimental settings. The quantized behavior can be used to distinguish coherent from incoherent dynamics.
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Cites
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics
Wallraff, A., Schuster, D. I., Blais, A., Frunzio, L., Huang, R. S., Majer, J., Kumar, S., Girvin, S. M., & Schoelkopf, R. J. (2004) · Nature · doi:10.1038/nature02851 · Cited by 3,796
Localization Transitions in Non-Hermitian Quantum Mechanics
Hatano, N., & Nelson, D. R. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.570 · Cited by 1,504
Coupling superconducting qubits via a cavity bus
Majer, J., Chow, J. M., Gambetta, J. M., Koch, J., Johnson, B. R., Schreier, J. A., Frunzio, L., Schuster, D. I., Houck, A. A., Wallraff, A., et al. (2007) · Nature · doi:10.1038/nature06184 · Cited by 1,368
Field Theories of Condensed Matter Systems
Fradkin, E. (2007) · Medical Entomology and Zoology · Cited by 1,121
Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
Sillanpää, M. A., Park, J. I., & Simmonds, R. W. (2007) · Nature · doi:10.1038/nature06124 · Cited by 664
Vortex pinning and non-Hermitian quantum mechanics
Hatano, N., & Nelson, D. R. (1997) · Physical Review B · doi:10.1103/physrevb.56.8651 · Cited by 656
Generating single microwave photons in a circuit
Houck, A. A., Schuster, D. I., Gambetta, J. M., Schreier, J. A., Johnson, B. R., Chow, J. M., Frunzio, L., Majer, J., Devoret, M. H., Girvin, S. M., et al. (2007) · Nature · doi:10.1038/nature06126 · Cited by 455
Astafiev, O., Inomata, K., Niskanen, A. O., Yamamoto, T., Pashkin, Y. A., Nakamura, Y., & Tsai, J. S. (2007) · Nature · doi:10.1038/nature06141 · Cited by 310
‘‘Dark’’ squeezed states of the motion of a trapped ion
Cirac, J. I., Parkins, A. S., Blatt, R., & Zoller, P. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.556 · Cited by 281
Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Non-Hermitian physics and PT symmetry
El-Ganainy, R., Makris, K. G., Khajavikhan, M., Musslimani, Z. H., Rotter, S., & Christodoulides, D. N. (2018) · Nature Physics · doi:10.1038/nphys4323 · Cited by 2,721
Parity–time symmetry and exceptional points in photonics
Özdemir, Ş. K., Rotter, S., Nori, F., & Yang, L. (2019) · Nature Materials · doi:10.1038/s41563-019-0304-9 · Cited by 1,773
Exceptional topology of non-Hermitian systems
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Metadata
- Authors
- Rudner, M. S., & Levitov, L. S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-02-12
- Volume
- 102
- Issue
- 6
- Pages
- 065703-065703
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2073360360
- Cited by
- 472
- References
- 14
- FWCI
- 2.97
- Type
- journal article
- Language
- en
- Open access
- bronze
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